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Finding the Fourth Proportional to 352.97, 529.04 and 231.02

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Solution

The fourth proportional to 352.97, 529.04 and 231.02 is: 346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.97 : 529.04 = 231.02 : x
  2. Step 2: Convert to fraction form
    352.97/529.04 = 231.02/x
  3. Step 3: Cross multiply
    352.97x = 529.04 × 231.02
  4. Step 4: Simplify right side
    352.97x = 122,215.02
  5. Step 5: Solve for x
    x = 122,215.02/352.97
  6. Step 6: Final answer
    x = 346.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.